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Finding the Fourth Proportional to 362,418.30, 543,627.45 and 152,207.10

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Solution

The fourth proportional to 362,418.30, 543,627.45 and 152,207.10 is: 228,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,418.30 : 543,627.45 = 152,207.10 : x
  2. Step 2: Convert to fraction form
    362,418.30/543,627.45 = 152,207.10/x
  3. Step 3: Cross multiply
    362,418.30x = 543,627.45 × 152,207.10
  4. Step 4: Simplify right side
    362,418.30x = 82,743,957,644.90
  5. Step 5: Solve for x
    x = 82,743,957,644.90/362,418.30
  6. Step 6: Final answer
    x = 228,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.